Question

tan a + cos a= 2 then what is value of tan
${tan}^{2} a - {cos}^{2} }$
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Answer 1

ANSWER

Given tan A +cot A=2

Squaring on both sides we get,

tan^2 A+cot^2 A+2tanAcotA=4

tan^2 A+cot^2 A+2=4

tan^2 A+cot^2 A= 2